Correlation exponent of two-dimensional amplitude fractals

Peter P. Maksimyak; Igor V. Silivra

doi:10.1117/12.295687

1 December 1997 Correlation exponent of two-dimensional amplitude fractals

Peter P. Maksimyak, Igor V. Silivra

Proceedings Volume 3317, International Conference on Correlation Optics; (1997) https://doi.org/10.1117/12.295687
Event: International Conference on Correlation Optics, 1997, Chernivsti, Ukraine

Abstract

The dimension parameters of 2D fractals, such as Sierpindki's carpets is studied using the theory of stochastic oscillations. The correlation exponent v is used as the parameter characterizing the spatial complexity of an optical field. This parameter gives the number of spatial harmonics with incommensurable periods by means of which the structure of the object can be described. Observed quadratic connection between v and fractals levels.

Citation Download Citation

Peter P. Maksimyak and Igor V. Silivra "Correlation exponent of two-dimensional amplitude fractals", Proc. SPIE 3317, International Conference on Correlation Optics, (1 December 1997); https://doi.org/10.1117/12.295687

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